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Finding the Fourth Proportional to 457,211.52, 630,367.08 and 313,722.48

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Solution

The fourth proportional to 457,211.52, 630,367.08 and 313,722.48 is: 432,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,211.52 : 630,367.08 = 313,722.48 : x
  2. Step 2: Convert to fraction form
    457,211.52/630,367.08 = 313,722.48/x
  3. Step 3: Cross multiply
    457,211.52x = 630,367.08 × 313,722.48
  4. Step 4: Simplify right side
    457,211.52x = 197,760,323,647.96
  5. Step 5: Solve for x
    x = 197,760,323,647.96/457,211.52
  6. Step 6: Final answer
    x = 432,535.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.